26688625920 has 432 divisors, whose sum is σ = 105125634432. Its totient is φ = 6187991040.

The previous prime is 26688625913. The next prime is 26688625961. The reversal of 26688625920 is 2952688662.

26688625920 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 8 + 625 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2909982 + ... + 2919138.

It is an arithmetic number, because the mean of its divisors is an integer number (243346376).

Almost surely, 2^26688625920 is an apocalyptic number.

26688625920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26688625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52562817216).

26688625920 is an abundant number, since it is smaller than the sum of its proper divisors (78437008512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26688625920 is a wasteful number, since it uses less digits than its factorization.

26688625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 26688625920 in words is "twenty-six billion, six hundred eighty-eight million, six hundred twenty-five thousand, nine hundred twenty".